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11103221120 = 27564326981
BaseRepresentation
bin10100101011100110…
…11011010110000000
31001122210200001222212
422111303123112000
5140214411033440
65033432321252
7542101552025
oct122563332600
931583601885
1011103221120
11478852a402
12219a543228
13107c428334
1477489d54c
1544eb7d465
hex295cdb580

11103221120 has 64 divisors (see below), whose sum is σ = 26585904240. Its totient is φ = 4434216960.

The previous prime is 11103221081. The next prime is 11103221131. The reversal of 11103221120 is 2112230111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×111032211202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11103221095 and 11103221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398030 + ... + 425010.

Almost surely, 211103221120 is an apocalyptic number.

11103221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13292952120).

11103221120 is an abundant number, since it is smaller than the sum of its proper divisors (15482683120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11103221120 is an equidigital number, since it uses as much as digits as its factorization.

11103221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27643 (or 27631 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11103221120 its reverse (2112230111), we get a palindrome (13215451231).

The spelling of 11103221120 in words is "eleven billion, one hundred three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 643 1286 2572 3215 5144 6430 10288 12860 20576 25720 26981 41152 51440 53962 82304 102880 107924 134905 205760 215848 269810 411520 431696 539620 863392 1079240 1726784 2158480 3453568 4316960 8633920 17267840 17348783 34697566 69395132 86743915 138790264 173487830 277580528 346975660 555161056 693951320 1110322112 1387902640 2220644224 2775805280 5551610560 11103221120